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106737040 = 2458831511
BaseRepresentation
bin1100101110010…
…10110110010000
321102211210200201
412113022312100
5204311041130
614331424544
72434151464
oct627126620
9242753621
10106737040
1155283133
122b8b5154
1319162117
14102664a4
159585bca
hex65cad90

106737040 has 40 divisors (see below), whose sum is σ = 248609088. Its totient is φ = 42618240.

The previous prime is 106737031. The next prime is 106737091. The reversal of 106737040 is 40737601.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1067370402 = 22785591415923200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69885 + ... + 71395.

Almost surely, 2106737040 is an apocalyptic number.

106737040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106737040 is an abundant number, since it is smaller than the sum of its proper divisors (141872048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106737040 is a wasteful number, since it uses less digits than its factorization.

106737040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407 (or 2401 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 106737040 is about 10331.3619624907. The cubic root of 106737040 is about 474.3567136865.

The spelling of 106737040 in words is "one hundred six million, seven hundred thirty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 883 1511 1766 3022 3532 4415 6044 7064 7555 8830 12088 14128 15110 17660 24176 30220 35320 60440 70640 120880 1334213 2668426 5336852 6671065 10673704 13342130 21347408 26684260 53368520 106737040